The answer is 3. 1/6 because there are 6 sides in the cube. So the probability of getting a certain number is 1/6.
Answer:
87
Step-by-step explanation:
Hope this helps
Answer:
![opposite\approx 70.02](https://tex.z-dn.net/?f=opposite%5Capprox%2070.02)
Step-by-step explanation:
The triangle in the given problem is a right triangle, as the tower forms a right angle with the ground. This means that one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are as follows;
![sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}](https://tex.z-dn.net/?f=sin%28%5Ctheta%29%3D%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D%5C%5C%5C%5Ccos%28%5Ctheta%29%3D%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%5C%5C%5C%5Ctan%28%5Ctheta%29%3D%5Cfrac%7Bopposite%7D%7Badjacent%7D)
Please note that the names (
) and (
) are subjective and change depending on the angle one uses in the ratio. However the name (
) refers to the side opposite the right angle, and thus it doesn't change depending on the reference angle.
In this problem, one is given an angle with the measure of (35) degrees, and the length of the side adjacent to this angle. One is asked to find the length of the side opposite the (35) degree angle. To achieve this, one can use the tangent (
) ratio.
![tan(\theta)=\frac{opposite}{adjacent}](https://tex.z-dn.net/?f=tan%28%5Ctheta%29%3D%5Cfrac%7Bopposite%7D%7Badjacent%7D)
Substitute,
![tan(35)=\frac{opposite}{100}](https://tex.z-dn.net/?f=tan%2835%29%3D%5Cfrac%7Bopposite%7D%7B100%7D)
Inverse operations,
![tan(35)=\frac{opposite}{100}](https://tex.z-dn.net/?f=tan%2835%29%3D%5Cfrac%7Bopposite%7D%7B100%7D)
![100(tan(35))=opposite](https://tex.z-dn.net/?f=100%28tan%2835%29%29%3Dopposite)
Simplify,
![100(tan(35))=opposite](https://tex.z-dn.net/?f=100%28tan%2835%29%29%3Dopposite)
![70.02\approx opposite](https://tex.z-dn.net/?f=70.02%5Capprox%20opposite)
First part its 4C2 = 4*3 / 2 = 6
Second part
12 * 100
---------- = 4.3 %
280
$304 is the answer because 456/3 and then multiply by 2